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On finite Dirichlet series

✍ Scribed by L. Lovász


Publisher
Akadmiai Kiad
Year
1971
Tongue
English
Weight
179 KB
Volume
22
Category
Article
ISSN
1588-2632

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Automatic Dirichlet Series
✍ J.-P Allouche; M Mendès France; J Peyrière 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 142 KB

Dirichlet series whose coefficients are generated by finite automata define meromorphic functions on the whole complex plane. As consequences, a new proof of Cobham's theorem on the existence of logarithmic frequencies of symbols in automatic sequences is given, and certain infinite products are exp